This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

**Figure 13.**- *Other* rockfish (non-pelagic and non-yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 13.- Other rockfish (non-pelagic and non-yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 14.**- *Other* rockfish (non-pelagic and non-yelloweye) releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 14.- Other rockfish (non-pelagic and non-yelloweye) releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



Total Biomass Removal Estimates

**Figure 15.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 16.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 17.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 18.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 18.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 19.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 19.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 20.**- Residuals from logbook harvests.

Figure 20.- Residuals from logbook harvests.


SWHS residuals

**Figure 21.**- Residuals from SWHS harvests.

Figure 21.- Residuals from SWHS harvests.



**Figure 22.**- Residual of SWHS releases.

Figure 22.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 23.**- Mean percent of harvest by charter anglers.

Figure 23.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 24.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 24.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 25.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 25.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 26.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 26.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 27.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 27.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 28.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 28.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 29.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 29.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 30.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 30.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 31.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 31.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 32.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 32.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 33.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 33.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 35.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 36.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 36.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 37.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 41.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 41.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.259587

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.09 while 0.91 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_pelagic

11

1

1

0.461

0.461

0.222

0.702

1.016

0.126

0.000

CSEO

p_pelagic

11

1

2

0.400

0.396

0.176

0.648

1.015

0.124

0.032

CSEO

p_pelagic

11

10

1

0.463

0.460

0.224

0.706

1.012

0.126

0.024

CSEO

p_pelagic

11

10

2

0.396

0.389

0.178

0.650

1.013

0.120

0.058

CSEO

p_pelagic

11

11

1

0.460

0.458

0.228

0.706

1.030

0.125

0.016

CSEO

p_pelagic

11

11

2

0.398

0.391

0.176

0.650

1.014

0.123

0.057

CSEO

p_pelagic

11

12

1

0.467

0.464

0.240

0.720

1.028

0.126

0.024

CSEO

p_pelagic

11

12

2

0.400

0.394

0.178

0.653

1.015

0.123

0.049

CSEO

p_pelagic

11

13

1

0.463

0.462

0.227

0.708

1.022

0.126

0.008

CSEO

p_pelagic

11

13

2

0.395

0.390

0.181

0.646

1.026

0.124

0.040

CSEO

p_pelagic

11

14

1

0.472

0.468

0.235

0.716

1.031

0.125

0.032

CSEO

p_pelagic

11

14

2

0.402

0.396

0.182

0.654

1.017

0.124

0.049

CSEO

p_pelagic

11

15

1

0.423

0.420

0.189

0.685

1.024

0.127

0.024

CSEO

p_pelagic

11

15

2

0.393

0.387

0.180

0.653

1.020

0.122

0.049

CSEO

p_pelagic

11

16

1

0.471

0.469

0.237

0.716

1.021

0.124

0.016

CSEO

p_pelagic

11

16

2

0.401

0.395

0.180

0.657

1.027

0.124

0.048

CSEO

p_pelagic

11

17

1

0.468

0.462

0.239

0.720

1.034

0.126

0.047

CSEO

p_pelagic

11

17

2

0.398

0.392

0.180

0.652

1.025

0.124

0.048

CSEO

p_pelagic

11

18

1

0.468

0.464

0.235

0.712

1.028

0.124

0.032

CSEO

p_pelagic

11

18

2

0.399

0.391

0.177

0.655

1.014

0.123

0.065

CSEO

p_pelagic

11

19

1

0.482

0.481

0.253

0.718

1.024

0.121

0.008

CSEO

p_pelagic

11

19

2

0.401

0.397

0.171

0.640

1.019

0.121

0.033

CSEO

p_pelagic

11

2

1

0.461

0.456

0.226

0.709

1.015

0.127

0.039

CSEO

p_pelagic

11

2

2

0.399

0.392

0.174

0.652

1.026

0.124

0.057

CSEO

p_slope

11

2

2

0.096

0.072

0.013

0.318

1.011

0.081

0.295

CSEO

p_pelagic

11

20

1

0.478

0.478

0.246

0.720

1.024

0.123

0.000

CSEO

p_pelagic

11

20

2

0.402

0.398

0.188

0.650

1.021

0.121

0.033

CSEO

p_pelagic

11

21

1

0.477

0.476

0.246

0.719

1.025

0.124

0.008

CSEO

p_pelagic

11

21

2

0.407

0.399

0.187

0.667

1.028

0.126

0.063

CSEO

p_pelagic

11

22

2

0.408

0.400

0.193

0.657

1.020

0.122

0.066

CSEO

p_pelagic

11

23

2

0.445

0.443

0.229

0.685

1.023

0.120

0.017

CSEO

p_pelagic

11

3

1

0.465

0.465

0.229

0.712

1.012

0.126

0.000

CSEO

p_pelagic

11

3

2

0.393

0.386

0.175

0.643

1.031

0.123

0.057

CSEO

p_pelagic

11

4

1

0.463

0.460

0.220

0.715

1.018

0.128

0.023

CSEO

p_pelagic

11

4

2

0.401

0.394

0.184

0.655

1.022

0.123

0.057

CSEO

p_pelagic

11

5

1

0.464

0.457

0.226

0.721

1.018

0.128

0.055

CSEO

p_pelagic

11

5

2

0.396

0.391

0.176

0.646

1.024

0.122

0.041

CSEO

p_pelagic

11

6

1

0.461

0.458

0.231

0.709

1.021

0.128

0.024

CSEO

p_pelagic

11

6

2

0.397

0.392

0.174

0.641

1.026

0.124

0.040

CSEO

p_pelagic

11

7

1

0.463

0.461

0.224

0.708

1.010

0.125

0.016

CSEO

p_pelagic

11

7

2

0.400

0.394

0.179

0.652

1.021

0.124

0.049

CSEO

p_pelagic

11

8

1

0.463

0.461

0.227

0.705

1.025

0.126

0.016

CSEO

p_pelagic

11

8

2

0.396

0.391

0.179

0.650

1.019

0.123

0.041

CSEO

p_pelagic

11

9

1

0.463

0.458

0.230

0.712

1.023

0.126

0.040

CSEO

p_pelagic

11

9

2

0.400

0.395

0.176

0.654

1.020

0.124

0.040

CSEO

p_yellow

13

1

1

0.442

0.383

0.129

0.994

1.077

0.234

0.252

NSEI

p_yellow

13

1

2

0.441

0.379

0.129

0.993

1.070

0.236

0.263

NSEI

p_yellow

13

10

1

0.439

0.380

0.135

0.993

1.088

0.235

0.251

NSEI

p_yellow

13

10

2

0.442

0.383

0.130

0.994

1.076

0.235

0.251

NSEI

p_yellow

13

11

1

0.441

0.380

0.126

0.993

1.084

0.238

0.257

NSEI

p_yellow

13

11

2

0.443

0.388

0.131

0.994

1.077

0.233

0.236

NSEI

p_yellow

13

12

1

0.437

0.379

0.121

0.994

1.080

0.237

0.244

NSEI

p_yellow

13

12

2

0.441

0.376

0.128

0.994

1.083

0.236

0.275

NSEI

p_yellow

13

13

1

0.438

0.377

0.124

0.993

1.086

0.238

0.256

NSEI

p_yellow

13

13

2

0.446

0.391

0.132

0.994

1.081

0.235

0.234

NSEI

p_yellow

13

14

1

0.438

0.374

0.127

0.994

1.074

0.236

0.271

NSEI

p_yellow

13

14

2

0.440

0.381

0.136

0.994

1.081

0.233

0.253

NSEI

p_yellow

13

15

1

0.433

0.373

0.124

0.993

1.090

0.238

0.252

NSEI

p_yellow

13

15

2

0.436

0.377

0.132

0.994

1.083

0.236

0.250

NSEI

p_yellow

13

16

1

0.442

0.379

0.133

0.993

1.076

0.236

0.267

NSEI

p_yellow

13

16

2

0.441

0.380

0.125

0.993

1.079

0.237

0.257

NSEI

p_yellow

13

17

1

0.436

0.376

0.123

0.993

1.076

0.236

0.254

NSEI

p_yellow

13

17

2

0.446

0.385

0.131

0.993

1.083

0.236

0.258

NSEI

p_yellow

13

18

1

0.437

0.375

0.123

0.993

1.085

0.237

0.261

NSEI

p_yellow

13

18

2

0.442

0.383

0.135

0.993

1.082

0.234

0.252

NSEI

p_yellow

13

19

1

0.441

0.383

0.122

0.993

1.077

0.237

0.244

NSEI

p_yellow

13

19

2

0.439

0.380

0.131

0.993

1.081

0.234

0.252

NSEI

p_yellow

13

2

1

0.440

0.383

0.130

0.993

1.088

0.237

0.240

NSEI

p_yellow

13

2

2

0.444

0.388

0.135

0.993

1.078

0.236

0.237

NSEI

p_yellow

13

20

1

0.439

0.376

0.127

0.994

1.084

0.236

0.267

NSEI

p_yellow

13

20

2

0.446

0.390

0.132

0.994

1.079

0.236

0.237

NSEI

p_yellow

13

21

1

0.436

0.375

0.130

0.994

1.081

0.238

0.257

NSEI

p_yellow

13

21

2

0.434

0.368

0.126

0.992

1.071

0.237

0.279

NSEI

p_yellow

13

22

1

0.440

0.381

0.128

0.993

1.088

0.236

0.250

NSEI

p_yellow

13

22

2

0.443

0.384

0.134

0.992

1.078

0.236

0.250

NSEI

p_yellow

13

23

1

0.403

0.331

0.103

0.991

1.089

0.245

0.294

NSEI

p_yellow

13

23

2

0.490

0.444

0.152

0.995

1.062

0.230

0.200

NSEI

p_yellow

13

24

1

0.406

0.339

0.104

0.992

1.092

0.242

0.277

NSEI

p_yellow

13

24

2

0.488

0.440

0.155

0.995

1.073

0.230

0.209

NSEI

p_yellow

13

25

1

0.407

0.337

0.103

0.991

1.087

0.241

0.291

NSEI

p_yellow

13

25

2

0.487

0.441

0.160

0.995

1.071

0.228

0.202

NSEI

p_yellow

13

26

1

0.402

0.336

0.102

0.991

1.097

0.239

0.276

NSEI

p_yellow

13

26

2

0.486

0.442

0.154

0.995

1.064

0.228

0.193

NSEI

p_yellow

13

27

1

0.392

0.327

0.100

0.989

1.093

0.237

0.275

NSEI

p_yellow

13

27

2

0.477

0.435

0.157

0.995

1.068

0.225

0.187

NSEI

p_yellow

13

28

1

0.396

0.334

0.102

0.989

1.086

0.231

0.268

NSEI

p_yellow

13

28

2

0.478

0.437

0.158

0.994

1.069

0.220

0.186

NSEI

p_yellow

13

29

1

0.379

0.329

0.098

0.973

1.081

0.216

0.231

NSEI

p_yellow

13

29

2

0.470

0.435

0.161

0.981

1.079

0.209

0.167

NSEI

p_yellow

13

3

1

0.441

0.381

0.124

0.992

1.078

0.238

0.253

NSEI

p_yellow

13

3

2

0.444

0.385

0.130

0.994

1.083

0.235

0.251

NSEI

p_yellow

13

4

1

0.440

0.382

0.126

0.993

1.080

0.237

0.245

NSEI

p_yellow

13

4

2

0.444

0.387

0.133

0.994

1.081

0.237

0.240

NSEI

p_yellow

13

5

1

0.442

0.383

0.134

0.993

1.077

0.236

0.250

NSEI

p_yellow

13

5

2

0.441

0.379

0.123

0.993

1.080

0.237

0.261

NSEI

p_yellow

13

6

1

0.439

0.381

0.127

0.993

1.075

0.237

0.244

NSEI

p_yellow

13

6

2

0.443

0.387

0.129

0.993

1.070

0.237

0.236

NSEI

p_yellow

13

7

1

0.439

0.380

0.130

0.993

1.081

0.236

0.250

NSEI

p_yellow

13

7

2

0.438

0.378

0.129

0.993

1.090

0.236

0.254

NSEI

p_yellow

13

8

1

0.437

0.373

0.127

0.992

1.085

0.239

0.268

NSEI

p_yellow

13

8

2

0.445

0.384

0.132

0.993

1.073

0.237

0.258

NSEI

p_yellow

13

9

1

0.441

0.379

0.126

0.993

1.079

0.237

0.262

NSEI

p_yellow

13

9

2

0.445

0.387

0.133

0.993

1.083

0.235

0.247

NSEI

p_pelagic

14

1

2

0.402

0.391

0.177

0.666

1.011

0.128

0.086

NSEO

p_yellow

14

1

1

0.575

0.555

0.263

0.994

1.017

0.188

0.106

NSEO

p_yellow

14

10

1

0.578

0.560

0.251

0.994

1.014

0.190

0.095

NSEO

p_yellow

14

10

2

0.622

0.612

0.291

0.994

1.011

0.179

0.056

NSEO

p_pelagic

14

11

1

0.432

0.427

0.205

0.680

1.011

0.125

0.040

NSEO

p_yellow

14

11

1

0.575

0.555

0.251

0.994

1.012

0.188

0.106

NSEO

p_yellow

14

11

2

0.619

0.613

0.283

0.995

1.013

0.183

0.033

NSEO

p_yellow

14

12

2

0.616

0.611

0.271

0.995

1.010

0.184

0.027

NSEO

p_yellow

14

13

1

0.576

0.559

0.246

0.993

1.015

0.189

0.090

NSEO

p_yellow

14

13

2

0.613

0.604

0.293

0.995

1.014

0.184

0.049

NSEO

p_pelagic

14

14

2

0.405

0.399

0.186

0.663

1.010

0.125

0.048

NSEO

p_yellow

14

15

1

0.573

0.558

0.244

0.994

1.021

0.190

0.079

NSEO

p_yellow

14

15

2

0.613

0.599

0.290

0.995

1.010

0.182

0.077

NSEO

p_yellow

14

16

1

0.581

0.561

0.255

0.994

1.013

0.189

0.106

NSEO

p_yellow

14

16

2

0.620

0.612

0.291

0.995

1.011

0.180

0.045

NSEO

p_yellow

14

17

1

0.569

0.550

0.240

0.994

1.013

0.190

0.100

NSEO

p_yellow

14

17

2

0.612

0.601

0.278

0.994

1.012

0.184

0.060

NSEO

p_yellow

14

18

1

0.572

0.554

0.234

0.993

1.013

0.192

0.094

NSEO

p_yellow

14

18

2

0.616

0.604

0.287

0.995

1.013

0.182

0.066

NSEO

p_yellow

14

19

1

0.578

0.564

0.247

0.993

1.015

0.190

0.074

NSEO

p_yellow

14

19

2

0.617

0.606

0.286

0.995

1.011

0.180

0.061

NSEO

p_pelagic

14

2

1

0.430

0.421

0.204

0.687

1.015

0.126

0.071

NSEO

p_yellow

14

2

1

0.579

0.561

0.251

0.993

1.013

0.189

0.095

NSEO

p_yellow

14

20

1

0.579

0.559

0.252

0.993

1.016

0.186

0.108

NSEO

p_yellow

14

20

2

0.614

0.607

0.276

0.995

1.011

0.183

0.038

NSEO

p_yellow

14

21

1

0.578

0.566

0.249

0.994

1.014

0.189

0.063

NSEO

p_yellow

14

21

2

0.614

0.605

0.300

0.995

1.011

0.180

0.050

NSEO

p_yellow

14

22

1

0.579

0.562

0.249

0.994

1.011

0.187

0.091

NSEO

p_yellow

14

23

1

0.605

0.593

0.280

0.994

1.013

0.179

0.067

NSEO

p_yellow

14

23

2

0.617

0.610

0.277

0.994

1.011

0.183

0.038

NSEO

p_yellow

14

24

1

0.607

0.593

0.294

0.994

1.010

0.176

0.080

NSEO

p_yellow

14

24

2

0.617

0.608

0.294

0.995

1.012

0.180

0.050

NSEO

p_yellow

14

25

1

0.594

0.582

0.278

0.994

1.015

0.180

0.067

NSEO

p_yellow

14

26

1

0.585

0.573

0.255

0.993

1.011

0.190

0.063

NSEO

p_yellow

14

27

1

0.600

0.586

0.268

0.994

1.011

0.183

0.076

NSEO

p_yellow

14

28

1

0.586

0.571

0.274

0.993

1.014

0.182

0.082

NSEO

p_yellow

14

29

1

0.580

0.572

0.253

0.983

1.010

0.183

0.044

NSEO

p_yellow

14

29

2

0.611

0.606

0.279

0.986

1.011

0.178

0.028

NSEO

p_yellow

14

3

1

0.576

0.562

0.239

0.994

1.012

0.191

0.073

NSEO

p_yellow

14

3

2

0.614

0.601

0.289

0.994

1.012

0.183

0.071

NSEO

p_yellow

14

4

1

0.578

0.563

0.247

0.994

1.015

0.189

0.079

NSEO

p_yellow

14

4

2

0.619

0.613

0.277

0.994

1.011

0.184

0.033

NSEO

p_yellow

14

5

1

0.578

0.558

0.258

0.994

1.012

0.188

0.107

NSEO

p_pelagic

14

6

2

0.399

0.393

0.175

0.653

1.012

0.126

0.048

NSEO

p_yellow

14

6

1

0.581

0.567

0.244

0.992

1.013

0.188

0.074

NSEO

p_yellow

14

6

2

0.614

0.599

0.279

0.995

1.013

0.181

0.083

NSEO

p_pelagic

14

7

1

0.431

0.426

0.202

0.677

1.012

0.126

0.040

NSEO

p_pelagic

14

7

2

0.402

0.396

0.176

0.656

1.017

0.125

0.048

NSEO

p_yellow

14

7

1

0.576

0.561

0.254

0.993

1.016

0.189

0.079

NSEO

p_yellow

14

8

1

0.578

0.563

0.257

0.993

1.014

0.190

0.079

NSEO

p_yellow

14

8

2

0.620

0.609

0.281

0.994

1.012

0.181

0.061

NSEO

p_pelagic

14

9

2

0.399

0.393

0.180

0.653

1.015

0.124

0.048

NSEO

p_yellow

14

9

1

0.579

0.565

0.257

0.993

1.011

0.189

0.074

NSEO

p_yellow

14

9

2

0.617

0.610

0.286

0.994

1.012

0.182

0.038

NSEO

p_pelagic

16

1

1

0.396

0.389

0.145

0.678

1.044

0.143

0.049

SSEO

p_pelagic

16

1

2

0.373

0.367

0.133

0.659

1.050

0.138

0.043

SSEO

p_pelagic

16

10

1

0.399

0.393

0.155

0.670

1.058

0.139

0.043

SSEO

p_pelagic

16

10

2

0.373

0.366

0.137

0.642

1.042

0.135

0.052

SSEO

p_pelagic

16

11

1

0.400

0.398

0.157

0.672

1.043

0.135

0.015

SSEO

p_pelagic

16

11

2

0.378

0.374

0.134

0.653

1.045

0.137

0.029

SSEO

p_pelagic

16

12

1

0.400

0.393

0.156

0.676

1.045

0.136

0.051

SSEO

p_pelagic

16

12

2

0.377

0.371

0.141

0.651

1.037

0.136

0.044

SSEO

p_pelagic

16

13

1

0.399

0.391

0.156

0.679

1.042

0.137

0.058

SSEO

p_pelagic

16

13

2

0.374

0.367

0.143

0.653

1.043

0.134

0.052

SSEO

p_pelagic

16

14

1

0.385

0.380

0.159

0.658

1.037

0.131

0.038

SSEO

p_pelagic

16

14

2

0.372

0.360

0.137

0.654

1.042

0.136

0.088

SSEO

p_pelagic

16

15

1

0.390

0.383

0.156

0.660

1.041

0.131

0.053

SSEO

p_pelagic

16

15

2

0.379

0.370

0.151

0.662

1.031

0.136

0.066

SSEO

p_pelagic

16

16

1

0.389

0.381

0.166

0.660

1.039

0.131

0.061

SSEO

p_pelagic

16

16

2

0.377

0.370

0.139

0.649

1.030

0.133

0.053

SSEO

p_pelagic

16

17

1

0.438

0.436

0.201

0.695

1.021

0.127

0.016

SSEO

p_pelagic

16

17

2

0.397

0.392

0.160

0.663

1.031

0.134

0.037

SSEO

p_pelagic

16

18

1

0.417

0.411

0.189

0.668

1.032

0.129

0.047

SSEO

p_pelagic

16

18

2

0.395

0.389

0.161

0.663

1.033

0.133

0.045

SSEO

p_pelagic

16

19

1

0.406

0.405

0.174

0.666

1.025

0.129

0.008

SSEO

p_pelagic

16

19

2

0.393

0.387

0.157

0.658

1.024

0.132

0.046

SSEO

p_pelagic

16

2

1

0.391

0.386

0.145

0.675

1.054

0.141

0.035

SSEO

p_pelagic

16

2

2

0.370

0.361

0.132

0.663

1.042

0.140

0.064

SSEO

p_pelagic

16

20

1

0.412

0.405

0.187

0.663

1.017

0.125

0.056

SSEO

p_pelagic

16

20

2

0.395

0.386

0.167

0.656

1.022

0.129

0.070

SSEO

p_pelagic

16

21

1

0.396

0.385

0.175

0.657

1.021

0.127

0.086

SSEO

p_pelagic

16

21

2

0.393

0.384

0.175

0.647

1.016

0.126

0.071

SSEO

p_pelagic

16

23

2

0.312

0.299

0.126

0.566

1.015

0.115

0.113

SSEO

p_pelagic

16

3

1

0.394

0.388

0.147

0.684

1.055

0.142

0.042

SSEO

p_pelagic

16

3

2

0.375

0.370

0.132

0.658

1.042

0.137

0.036

SSEO

p_dsr

16

30

1

0.418

0.417

0.392

0.445

1.021

0.013

0.076

SSEO

p_dsr

16

31

1

0.403

0.402

0.375

0.434

1.167

0.016

0.063

SSEO

p_slope

16

36

1

0.061

0.062

0.042

0.079

1.034

0.009

-0.109

SSEO

p_slope

16

37

1

0.065

0.066

0.047

0.082

1.012

0.009

-0.115

SSEO

p_pelagic

16

4

1

0.392

0.387

0.142

0.675

1.039

0.138

0.036

SSEO

p_pelagic

16

4

2

0.373

0.366

0.128

0.648

1.052

0.140

0.050

SSEO

p_pelagic

16

42

1

0.833

0.833

0.827

0.840

1.103

0.003

0.000

SSEO

p_yellow

16

42

1

0.406

0.406

0.386

0.429

1.036

0.011

0.000

SSEO

p_dsr

16

42

1

0.451

0.441

0.407

0.510

3.607

0.030

0.329

SSEO

p_slope

16

42

1

0.167

0.180

0.109

0.210

4.749

0.032

-0.408

SSEO

p_pelagic

16

5

1

0.392

0.387

0.143

0.674

1.047

0.141

0.035

SSEO

p_pelagic

16

5

2

0.374

0.368

0.135

0.652

1.047

0.137

0.044

SSEO

p_pelagic

16

6

1

0.396

0.395

0.140

0.682

1.056

0.142

0.007

SSEO

p_pelagic

16

6

2

0.371

0.362

0.135

0.652

1.039

0.139

0.065

SSEO

p_pelagic

16

7

1

0.393

0.387

0.141

0.672

1.041

0.141

0.042

SSEO

p_pelagic

16

7

2

0.379

0.373

0.143

0.660

1.048

0.139

0.043

SSEO

p_pelagic

16

8

1

0.397

0.389

0.149

0.674

1.053

0.140

0.057

SSEO

p_pelagic

16

8

2

0.374

0.368

0.128

0.650

1.044

0.139

0.043

SSEO

p_pelagic

16

9

1

0.395

0.389

0.149

0.673

1.042

0.139

0.043

SSEO

p_pelagic

16

9

2

0.373

0.365

0.134

0.645

1.054

0.135

0.059

SSEO

p_pelagic

3

1

1

0.555

0.560

0.292

0.794

1.025

0.132

-0.038

PWSI

p_pelagic

3

1

2

0.194

0.181

0.062

0.398

1.012

0.087

0.150

PWSI

p_pelagic

3

10

1

0.550

0.559

0.278

0.790

1.034

0.131

-0.069

PWSI

p_pelagic

3

10

2

0.191

0.177

0.068

0.394

1.023

0.086

0.163

PWSI

p_pelagic

3

11

1

0.554

0.561

0.284

0.788

1.028

0.130

-0.054

PWSI

p_pelagic

3

11

2

0.193

0.180

0.065

0.400

1.011

0.085

0.152

PWSI

p_pelagic

3

12

1

0.554

0.558

0.284

0.797

1.024

0.133

-0.030

PWSI

p_pelagic

3

12

2

0.192

0.180

0.067

0.390

1.015

0.084

0.143

PWSI

p_pelagic

3

13

1

0.555

0.563

0.285

0.794

1.029

0.133

-0.060

PWSI

p_pelagic

3

13

2

0.193

0.178

0.067

0.405

1.011

0.088

0.170

PWSI

p_pelagic

3

14

1

0.556

0.563

0.284

0.789

1.039

0.133

-0.053

PWSI

p_pelagic

3

14

2

0.198

0.186

0.069

0.396

1.016

0.086

0.139

PWSI

p_pelagic

3

15

1

0.552

0.555

0.290

0.784

1.021

0.130

-0.023

PWSI

p_pelagic

3

15

2

0.190

0.175

0.067

0.401

1.022

0.085

0.176

PWSI

p_pelagic

3

16

1

0.554

0.561

0.295

0.784

1.014

0.127

-0.055

PWSI

p_pelagic

3

16

2

0.190

0.175

0.069

0.387

1.015

0.083

0.181

PWSI

p_pelagic

3

17

1

0.554

0.556

0.299

0.789

1.022

0.129

-0.016

PWSI

p_pelagic

3

17

2

0.193

0.181

0.065

0.401

1.011

0.086

0.140

PWSI

p_pelagic

3

18

1

0.556

0.560

0.299

0.792

1.013

0.128

-0.031

PWSI

p_pelagic

3

19

1

0.556

0.563

0.297

0.794

1.018

0.131

-0.054

PWSI

p_pelagic

3

19

2

0.195

0.182

0.066

0.396

1.015

0.086

0.151

PWSI

p_pelagic

3

2

1

0.550

0.555

0.274

0.801

1.045

0.135

-0.037

PWSI

p_pelagic

3

2

2

0.194

0.182

0.062

0.395

1.022

0.087

0.138

PWSI

p_pelagic

3

3

1

0.554

0.557

0.292

0.795

1.040

0.131

-0.023

PWSI

p_pelagic

3

3

2

0.192

0.178

0.064

0.403

1.026

0.088

0.160

PWSI

p_pelagic

3

4

1

0.557

0.563

0.290

0.798

1.019

0.132

-0.045

PWSI

p_pelagic

3

4

2

0.192

0.177

0.062

0.389

1.013

0.086

0.174

PWSI

p_pelagic

3

5

1

0.553

0.557

0.297

0.787

1.023

0.130

-0.031

PWSI

p_pelagic

3

5

2

0.193

0.180

0.062

0.390

1.025

0.085

0.153

PWSI

p_pelagic

3

6

1

0.554

0.562

0.288

0.791

1.024

0.131

-0.061

PWSI

p_pelagic

3

6

2

0.192

0.179

0.062

0.397

1.022

0.086

0.151

PWSI

p_pelagic

3

7

1

0.553

0.559

0.289

0.795

1.024

0.132

-0.045

PWSI

p_pelagic

3

7

2

0.193

0.180

0.069

0.397

1.020

0.084

0.154

PWSI

p_pelagic

3

8

1

0.553

0.557

0.302

0.785

1.020

0.128

-0.031

PWSI

p_pelagic

3

8

2

0.195

0.183

0.064

0.403

1.013

0.088

0.137

PWSI

p_pelagic

3

9

1

0.555

0.559

0.292

0.798

1.032

0.131

-0.031

PWSI

p_pelagic

3

9

2

0.192

0.178

0.067

0.390

1.020

0.085

0.165

PWSI

p_yellow

4

15

1

0.882

0.897

0.701

0.972

1.011

0.070

-0.213

PWSO

p_pelagic

4

16

1

0.554

0.559

0.294

0.787

1.010

0.129

-0.039

PWSO

p_pelagic

4

18

1

0.555

0.555

0.305

0.789

1.011

0.129

0.000

PWSO

p_pelagic

4

5

1

0.556

0.562

0.300

0.785

1.010

0.127

-0.047

PWSO

p_pelagic

4

7

1

0.563

0.570

0.312

0.792

1.011

0.127

-0.055

PWSO

p_black

8

40

1

0.479

0.416

0.342

0.962

1.214

0.182

0.347

afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

beta3_pH

10

1

32.387

32.356

30.085

35.048

1.149

1.213

0.026

northeast

beta0_pH

11

1

-0.037

-0.025

-0.683

0.588

1.281

0.332

-0.036

CSEO

beta1_pH

11

1

3.483

3.469

2.535

4.415

1.206

0.514

0.027

CSEO

beta2_pH

11

1

0.355

0.320

0.195

0.716

1.140

0.140

0.250

CSEO

beta0_pelagic

11

-0.160

-0.154

-0.548

0.147

1.209

0.182

-0.033

CSEO

beta1_pelagic

11

1.223

1.202

0.771

1.823

1.154

0.272

0.077

CSEO

beta3_pelagic

11

30.540

30.281

28.006

34.620

1.205

1.570

0.165

CSEO

beta0_pH

13

4

0.545

0.597

-0.601

1.489

1.175

0.528

-0.098

NSEI

beta1_pH

13

4

1.462

1.444

0.471

2.563

1.154

0.527

0.034

NSEI

beta1_yellow

13

1.239

0.758

0.023

6.336

1.122

1.440

0.334

NSEI

beta2_yellow

13

-6.805

-4.993

-20.559

-0.358

1.254

6.266

-0.289

NSEI

beta1_pelagic

14

1.944

1.775

1.127

3.312

1.475

0.591

0.286

NSEO

beta3_pelagic

14

34.661

34.113

31.506

39.809

1.311

2.203

0.249

NSEO

beta1_yellow

14

0.772

0.395

0.012

5.102

1.103

1.229

0.307

NSEO

beta0_pH

15

4

0.608

0.589

-0.136

1.466

1.111

0.411

0.046

SSEI

beta0_yellow

15

-1.360

-1.241

-2.946

-1.038

1.403

0.430

-0.277

SSEI

beta1_yellow

15

0.278

0.095

0.011

1.931

1.321

0.466

0.392

SSEI

beta2_yellow

15

-5.568

-3.488

-20.617

-0.167

1.379

5.598

-0.372

SSEI

beta3_yellow

15

37.121

36.819

30.239

43.810

1.166

4.312

0.070

SSEI

beta3_pH

16

4

41.622

41.624

40.934

42.428

1.166

0.401

-0.005

SSEO

beta0_pelagic

16

-0.485

-0.362

-1.363

0.034

1.175

0.399

-0.308

SSEO

beta1_pelagic

16

1.556

1.413

0.763

2.931

1.179

0.580

0.247

SSEO

beta0_dsr

16

0.160

0.160

0.128

0.193

1.134

0.016

0.000

SSEO

beta1_pH

2

1

1.684

1.594

1.068

3.059

1.142

0.473

0.190

NG

beta3_pH

2

1

32.849

32.605

30.260

37.600

1.196

1.847

0.132

NG

beta0_yellow

2

0.510

0.544

-0.161

0.685

1.278

0.186

-0.183

NG

beta3_yellow

2

29.175

28.728

27.285

33.836

1.203

1.935

0.231

NG

beta1_pH

3

1

1.865

1.792

1.171

3.064

1.108

0.474

0.154

PWSI

beta0_pelagic

3

0.222

0.288

-0.419

0.607

1.215

0.257

-0.257

PWSI

beta1_pelagic

3

0.739

0.688

0.249

1.728

1.246

0.318

0.160

PWSI

beta3_pelagic

4

26.640

26.373

23.739

33.762

1.192

2.116

0.126

PWSO

beta0_pH

6

1

-0.516

-0.375

-2.321

0.061

1.145

0.538

-0.262

SOKO2SAP

beta2_pH

9

3

0.238

0.176

0.082

0.803

1.189

0.322

0.192

eastside

lambda_H

15

0.019

0.013

0.003

0.060

1.222

0.039

0.155

SSEI

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

832.00

227.00

1,205.00

376.00

Prop. of total

0.79

0.21

0.76

0.24

Prop. median less than 1

0.15

0.21

0.28

0.40

Prop. median less than 10

0.25

0.54

0.46

0.71

Prop. median less than 50

0.37

0.72

0.62

0.75

Median of the median values

288.78

8.29

15.85

2.25

Mean of the median values

1,051.97

564.37

334.19

242.05

Mean skew of posteriors

0.21

0.28

0.26

0.25

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

14.00

12.00

79.00

51.00

Prop. of total

0.54

0.46

0.61

0.39

Prop. median less than 1

0.07

0.50

0.65

0.51

Prop. median less than 10

0.07

0.83

0.71

0.76

Prop. median less than 50

0.07

1.00

0.75

0.78

Median of the median values

768.40

1.66

0.02

0.96

Mean of the median values

764.51

3.86

75.54

27.93

Mean skew of posteriors

0.23

0.22

0.17

0.19

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

beta0_dsr

1

beta0_pelagic

3

beta0_pH

4

beta0_yellow

2

beta1_pelagic

4

beta1_pH

3

beta1_yellow

2

beta2_pH

2

beta2_yellow

2

beta3_pelagic

3

beta3_pH

3

beta3_yellow

2

H_ay

4

H_ayg

1

H_ayu

4

Hb_ay

5

Hb_ayg

3

Hb_ayu

3

Hd_ay

1

Hd_ayg

2

Ho_ay

4

Ho_ayu

4

Hp_ay

3

Hp_ayg

2

Hp_ayu

3

Hs_ay

2

Hs_ayg

2

Hs_ayu

3

Hy_ay

4

Hy_ayg

1

Hy_ayu

5

lambda_H

1

p_black

1

p_dsr

2

p_slope

2

pH

13

R_ay

5

R_ayg

6

R_ayu

9

Rb_ay

5

Rb_ayg

7

Rb_ayu

4

Rd_ay

4

Rd_ayg

4

Rd_ayu

2

re_black

1

re_dsr

2

re_pelagic

23

re_pH

15

re_slope

2

Ro_ay

16

Ro_ayg

19

Ro_ayu

31

Rp_ay

5

Rp_ayg

6

Rp_ayu

4

Rs_ay

4

Rs_ayg

8

Rs_ayu

18

Ry_ay

9

Ry_ayg

6

Ry_ayu

23

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.021 0.071 -0.154 -0.025 0.125
mu_bc_H[2] 0.074 0.056 -0.027 0.072 0.188
mu_bc_H[3] -0.271 0.067 -0.395 -0.273 -0.131
mu_bc_H[4] -0.938 0.186 -1.313 -0.933 -0.589
mu_bc_H[5] 1.385 1.177 0.117 1.094 4.527
mu_bc_H[6] -2.432 0.319 -3.036 -2.440 -1.803
mu_bc_H[7] -0.452 0.098 -0.651 -0.448 -0.263
mu_bc_H[8] 0.270 0.352 -0.307 0.233 1.080
mu_bc_H[9] -0.253 0.123 -0.479 -0.255 -0.004
mu_bc_H[10] 0.050 0.066 -0.071 0.047 0.186
mu_bc_H[11] -0.122 0.038 -0.196 -0.121 -0.047
mu_bc_H[12] -0.262 0.107 -0.493 -0.255 -0.061
mu_bc_H[13] -0.155 0.070 -0.290 -0.156 -0.020
mu_bc_H[14] -0.312 0.090 -0.498 -0.309 -0.145
mu_bc_H[15] -0.339 0.046 -0.430 -0.339 -0.242
mu_bc_H[16] -0.124 0.373 -0.751 -0.161 0.736
mu_bc_R[1] 1.044 0.127 0.793 1.044 1.294
mu_bc_R[2] 1.018 0.078 0.851 1.019 1.166
mu_bc_R[3] 0.242 0.093 0.054 0.242 0.418
mu_bc_R[4] 0.665 0.202 0.253 0.669 1.042
mu_bc_R[5] 1.694 0.380 0.957 1.685 2.444
mu_bc_R[6] -1.468 0.345 -2.141 -1.468 -0.791
mu_bc_R[7] 0.508 0.167 0.164 0.514 0.834
mu_bc_R[8] 0.647 0.149 0.361 0.642 0.951
mu_bc_R[9] 0.397 0.167 0.058 0.405 0.702
mu_bc_R[10] 0.891 0.101 0.697 0.888 1.097
mu_bc_R[11] 1.105 0.078 0.955 1.103 1.259
mu_bc_R[12] 0.865 0.165 0.538 0.863 1.191
mu_bc_R[13] 1.050 0.087 0.870 1.052 1.217
mu_bc_R[14] 0.859 0.123 0.618 0.858 1.096
mu_bc_R[15] 0.806 0.096 0.616 0.807 0.996
mu_bc_R[16] 1.354 0.112 1.137 1.355 1.572
tau_pH[1] 2.416 0.183 2.088 2.413 2.795
tau_pH[2] 1.631 0.149 1.354 1.627 1.933
tau_pH[3] 1.222 0.112 1.020 1.215 1.461
tau_pH[4] 1.100 0.152 0.833 1.089 1.419
tau_pH[5] 0.441 0.078 0.306 0.436 0.608
beta0_pH[1,1] 0.558 0.168 0.204 0.568 0.854
beta0_pH[2,1] 1.394 0.175 1.019 1.414 1.672
beta0_pH[3,1] 1.366 0.222 0.840 1.386 1.753
beta0_pH[4,1] 1.575 0.226 1.053 1.597 1.960
beta0_pH[5,1] -0.697 0.337 -1.443 -0.674 -0.093
beta0_pH[6,1] -0.516 0.538 -2.321 -0.375 0.061
beta0_pH[7,1] 0.758 0.011 0.737 0.758 0.779
beta0_pH[8,1] -0.510 0.301 -1.119 -0.522 0.046
beta0_pH[9,1] -0.261 0.308 -0.973 -0.221 0.240
beta0_pH[10,1] 0.299 0.183 -0.084 0.308 0.636
beta0_pH[11,1] -0.037 0.332 -0.683 -0.025 0.588
beta0_pH[12,1] 0.633 0.211 0.187 0.645 1.029
beta0_pH[13,1] -0.676 0.163 -1.012 -0.669 -0.381
beta0_pH[14,1] 0.025 0.175 -0.350 0.035 0.343
beta0_pH[15,1] 0.097 0.177 -0.274 0.115 0.400
beta0_pH[16,1] -0.885 0.177 -1.215 -0.888 -0.545
beta0_pH[1,2] 2.563 0.083 2.405 2.561 2.729
beta0_pH[2,2] 3.079 0.021 3.036 3.079 3.120
beta0_pH[3,2] 3.626 0.041 3.546 3.626 3.708
beta0_pH[4,2] 2.935 0.019 2.898 2.935 2.974
beta0_pH[5,2] 4.531 1.394 2.733 4.273 7.934
beta0_pH[6,2] 3.323 0.158 3.017 3.322 3.639
beta0_pH[7,2] 2.033 0.050 1.935 2.033 2.134
beta0_pH[8,2] 2.820 0.065 2.697 2.819 2.950
beta0_pH[9,2] 3.953 0.205 3.564 3.950 4.357
beta0_pH[10,2] 3.995 0.129 3.758 3.992 4.250
beta0_pH[11,2] 1.885 0.009 1.867 1.886 1.903
beta0_pH[12,2] 1.792 0.067 1.662 1.791 1.926
beta0_pH[13,2] 2.497 0.027 2.447 2.497 2.550
beta0_pH[14,2] 1.802 0.024 1.757 1.802 1.849
beta0_pH[15,2] 2.545 0.017 2.512 2.545 2.578
beta0_pH[16,2] 2.765 0.025 2.717 2.765 2.813
beta0_pH[1,3] 1.124 0.351 0.280 1.181 1.674
beta0_pH[2,3] 2.126 0.018 2.091 2.126 2.160
beta0_pH[3,3] 2.693 0.024 2.646 2.692 2.740
beta0_pH[4,3] 2.980 0.034 2.915 2.981 3.049
beta0_pH[5,3] 3.511 2.332 0.899 2.937 10.089
beta0_pH[6,3] 1.352 0.367 0.718 1.325 2.129
beta0_pH[7,3] 0.860 0.050 0.765 0.861 0.960
beta0_pH[8,3] 0.269 0.216 -0.214 0.288 0.638
beta0_pH[9,3] -2.431 1.152 -5.044 -2.298 -0.554
beta0_pH[10,3] -0.510 0.851 -2.495 -0.391 0.830
beta0_pH[11,3] 1.120 0.534 -0.096 1.161 2.007
beta0_pH[12,3] 0.984 0.641 -0.369 0.975 2.266
beta0_pH[13,3] 1.039 0.485 -0.056 1.068 1.909
beta0_pH[14,3] 0.600 0.443 -0.404 0.645 1.319
beta0_pH[15,3] 0.722 0.449 -0.307 0.769 1.483
beta0_pH[16,3] 1.199 0.624 -0.030 1.171 2.471
beta0_pH[11,4] 0.842 0.459 -0.129 0.851 1.754
beta0_pH[12,4] 0.821 0.690 -0.552 0.808 2.212
beta0_pH[13,4] 0.545 0.528 -0.601 0.597 1.489
beta0_pH[14,4] 0.372 0.385 -0.417 0.405 1.058
beta0_pH[15,4] 0.608 0.411 -0.136 0.589 1.466
beta0_pH[16,4] 0.850 0.564 -0.235 0.823 2.034
beta0_pH[11,5] 2.962 0.144 2.697 2.957 3.261
beta0_pH[12,5] -0.891 0.504 -1.933 -0.877 0.065
beta0_pH[13,5] 4.873 0.418 4.083 4.865 5.712
beta0_pH[14,5] 3.879 0.362 3.215 3.860 4.642
beta0_pH[15,5] 2.288 0.124 2.058 2.285 2.545
beta0_pH[16,5] 0.257 0.067 0.160 0.246 0.423
beta1_pH[1,1] 2.560 0.499 1.813 2.491 3.892
beta1_pH[2,1] 1.684 0.473 1.068 1.594 3.059
beta1_pH[3,1] 1.865 0.474 1.171 1.792 3.064
beta1_pH[4,1] 1.936 0.477 1.230 1.868 3.209
beta1_pH[5,1] 2.187 0.425 1.446 2.160 3.119
beta1_pH[6,1] 2.022 0.855 1.036 1.800 4.607
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 2.133 0.766 1.096 1.977 4.138
beta1_pH[9,1] 1.885 0.525 1.133 1.791 3.340
beta1_pH[10,1] 2.063 0.332 1.480 2.046 2.742
beta1_pH[11,1] 3.483 0.514 2.535 3.469 4.415
beta1_pH[12,1] 2.885 0.307 2.281 2.873 3.528
beta1_pH[13,1] 3.480 0.261 3.019 3.474 4.034
beta1_pH[14,1] 2.848 0.324 2.284 2.814 3.539
beta1_pH[15,1] 2.336 0.282 1.871 2.312 2.913
beta1_pH[16,1] 4.044 0.245 3.547 4.057 4.460
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 2.069 1.322 0.049 1.883 5.761
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 4.823 2.658 0.649 4.238 11.535
beta1_pH[9,3] 8.142 2.892 3.605 7.763 14.117
beta1_pH[10,3] 6.541 2.670 2.795 6.049 12.660
beta1_pH[11,3] 2.163 0.589 1.105 2.126 3.460
beta1_pH[12,3] 3.220 0.661 1.953 3.193 4.587
beta1_pH[13,3] 1.956 0.518 1.004 1.948 3.062
beta1_pH[14,3] 2.183 0.496 1.364 2.136 3.236
beta1_pH[15,3] 2.100 0.521 1.213 2.052 3.252
beta1_pH[16,3] 3.674 0.682 2.289 3.699 5.009
beta1_pH[11,4] 1.989 0.506 0.935 2.011 2.897
beta1_pH[12,4] 3.224 0.709 1.786 3.234 4.643
beta1_pH[13,4] 1.462 0.527 0.471 1.444 2.563
beta1_pH[14,4] 2.012 0.450 1.162 1.992 2.903
beta1_pH[15,4] 1.415 0.477 0.408 1.436 2.303
beta1_pH[16,4] 3.560 0.640 2.243 3.593 4.769
beta1_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 1.269 0.869 0.316 0.935 3.413
beta2_pH[2,1] 1.585 1.002 0.192 1.340 3.447
beta2_pH[3,1] 1.249 0.840 0.191 1.025 2.938
beta2_pH[4,1] 1.164 0.819 0.200 0.882 2.928
beta2_pH[5,1] 2.641 2.752 0.337 1.726 10.468
beta2_pH[6,1] 1.687 2.693 0.120 0.600 10.535
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 1.539 2.471 0.158 0.507 9.914
beta2_pH[9,1] 1.589 2.304 0.171 0.691 9.274
beta2_pH[10,1] 1.927 2.446 0.349 0.970 9.818
beta2_pH[11,1] 0.355 0.140 0.195 0.320 0.716
beta2_pH[12,1] 1.552 0.785 0.623 1.319 3.609
beta2_pH[13,1] 1.014 0.420 0.494 0.930 2.022
beta2_pH[14,1] 1.075 0.638 0.424 0.888 3.101
beta2_pH[15,1] 1.087 0.602 0.367 0.919 2.794
beta2_pH[16,1] 1.085 0.371 0.661 1.004 2.024
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 6.671 6.679 0.117 4.969 22.837
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 1.455 1.354 0.161 1.025 5.312
beta2_pH[9,3] 0.238 0.322 0.082 0.176 0.803
beta2_pH[10,3] 0.412 0.654 0.107 0.262 1.596
beta2_pH[11,3] -6.510 5.161 -20.480 -5.089 -0.601
beta2_pH[12,3] -7.288 4.957 -19.852 -6.142 -1.218
beta2_pH[13,3] -6.592 4.918 -19.580 -5.186 -1.031
beta2_pH[14,3] -6.677 4.843 -19.498 -5.174 -1.189
beta2_pH[15,3] -6.893 4.943 -20.040 -5.565 -1.057
beta2_pH[16,3] -6.744 4.771 -19.725 -5.302 -1.485
beta2_pH[11,4] -6.374 4.616 -17.606 -5.130 -0.815
beta2_pH[12,4] -6.643 4.552 -18.013 -5.425 -1.159
beta2_pH[13,4] -6.416 4.576 -17.882 -5.183 -0.900
beta2_pH[14,4] -6.492 4.481 -17.677 -5.172 -1.275
beta2_pH[15,4] -6.685 4.533 -17.953 -5.483 -1.151
beta2_pH[16,4] -6.692 4.370 -17.554 -5.346 -1.628
beta2_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 34.945 1.137 32.889 34.941 37.455
beta3_pH[2,1] 32.849 1.847 30.260 32.605 37.600
beta3_pH[3,1] 32.997 1.618 29.858 33.010 36.424
beta3_pH[4,1] 32.830 2.141 29.092 32.750 38.014
beta3_pH[5,1] 27.652 1.101 26.153 27.500 30.561
beta3_pH[6,1] 32.683 3.252 24.979 32.786 40.227
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 35.088 3.857 29.064 34.957 41.955
beta3_pH[9,1] 32.090 2.231 28.224 31.860 36.887
beta3_pH[10,1] 32.387 1.213 30.085 32.356 35.048
beta3_pH[11,1] 31.119 1.086 29.178 31.082 33.197
beta3_pH[12,1] 30.768 0.501 29.732 30.797 31.739
beta3_pH[13,1] 31.384 0.537 30.465 31.337 32.451
beta3_pH[14,1] 32.614 0.785 31.309 32.553 34.412
beta3_pH[15,1] 30.981 0.725 29.504 30.984 32.454
beta3_pH[16,1] 30.110 0.328 29.478 30.108 30.772
beta3_pH[1,2] 34.568 5.467 25.508 34.563 43.556
beta3_pH[2,2] 34.347 5.482 25.357 34.327 43.458
beta3_pH[3,2] 30.443 7.188 18.565 30.351 42.365
beta3_pH[4,2] 30.223 7.259 18.507 30.015 42.360
beta3_pH[5,2] 30.702 7.163 18.691 30.795 42.420
beta3_pH[6,2] 30.398 7.237 18.781 30.412 42.423
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 38.746 3.241 29.992 39.903 43.111
beta3_pH[2,3] 34.586 5.474 25.541 34.495 43.560
beta3_pH[3,3] 30.676 7.106 18.589 30.934 42.317
beta3_pH[4,3] 30.389 7.273 18.687 30.401 42.396
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 42.064 1.368 38.338 42.127 43.897
beta3_pH[9,3] 36.560 2.180 34.534 35.730 42.493
beta3_pH[10,3] 37.905 2.554 34.653 37.239 43.525
beta3_pH[11,3] 40.756 1.074 38.947 40.762 42.742
beta3_pH[12,3] 42.028 0.728 40.285 42.280 42.856
beta3_pH[13,3] 41.350 0.709 40.044 41.340 42.764
beta3_pH[14,3] 40.449 0.697 39.092 40.452 41.779
beta3_pH[15,3] 40.630 0.643 39.200 40.671 41.843
beta3_pH[16,3] 41.843 0.387 41.034 41.908 42.571
beta3_pH[11,4] 40.402 1.025 38.345 40.361 42.435
beta3_pH[12,4] 41.931 0.768 40.272 42.178 42.906
beta3_pH[13,4] 41.912 1.153 39.653 42.067 43.718
beta3_pH[14,4] 40.446 0.681 39.087 40.452 41.741
beta3_pH[15,4] 41.090 0.934 39.238 41.070 42.844
beta3_pH[16,4] 41.622 0.401 40.934 41.624 42.428
beta3_pH[11,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,5] 25.000 0.000 25.000 25.000 25.000
beta4_pH[1,1] 0.263 0.021 0.223 0.263 0.304
beta4_pH[2,1] 0.211 0.005 0.201 0.211 0.221
beta4_pH[3,1] 0.173 0.007 0.159 0.173 0.187
beta4_pH[4,1] 0.294 0.012 0.271 0.294 0.316
beta4_pH[5,1] 0.424 0.243 0.083 0.393 0.972
beta4_pH[6,1] 0.805 0.398 0.342 0.760 1.569
beta4_pH[7,1] 0.860 0.339 0.351 0.815 1.675
beta4_pH[8,1] 0.161 0.072 0.044 0.154 0.317
beta4_pH[9,1] 0.216 0.086 0.060 0.212 0.393
beta4_pH[10,1] 0.001 0.001 0.000 0.001 0.003
beta4_pH[11,1] 0.447 0.011 0.425 0.447 0.469
beta4_pH[12,1] 0.642 0.023 0.599 0.642 0.689
beta4_pH[13,1] 0.630 0.013 0.605 0.630 0.658
beta4_pH[14,1] 0.671 0.030 0.614 0.671 0.730
beta4_pH[15,1] 0.800 0.020 0.760 0.800 0.841
beta4_pH[16,1] 1.217 0.041 1.141 1.217 1.302
beta4_pH[1,2] 0.308 0.097 0.131 0.302 0.516
beta4_pH[2,2] 0.514 0.023 0.468 0.514 0.558
beta4_pH[3,2] 0.446 0.012 0.422 0.446 0.468
beta4_pH[4,2] 0.655 0.038 0.584 0.654 0.731
beta4_pH[5,2] 0.718 0.814 0.110 0.537 2.499
beta4_pH[6,2] 0.899 0.689 0.198 0.741 2.647
beta4_pH[7,2] 0.892 0.412 0.353 0.809 1.871
beta4_pH[8,2] 0.842 0.200 0.496 0.825 1.290
beta4_pH[9,2] 1.168 1.218 0.307 0.877 3.756
beta4_pH[10,2] 0.456 0.052 0.358 0.454 0.560
beta4_pH[11,2] 1.270 0.050 1.176 1.268 1.371
beta4_pH[12,2] 0.581 0.109 0.376 0.576 0.806
beta4_pH[13,2] 0.943 0.044 0.857 0.942 1.030
beta4_pH[14,2] 0.928 0.062 0.811 0.927 1.052
beta4_pH[15,2] 1.011 0.025 0.963 1.010 1.061
beta4_pH[16,2] 1.407 0.077 1.258 1.405 1.560
beta4_pH[1,3] 0.286 0.087 0.128 0.282 0.469
beta4_pH[2,3] 0.051 0.017 0.021 0.050 0.087
beta4_pH[3,3] 0.052 0.010 0.033 0.052 0.072
beta4_pH[4,3] 0.173 0.032 0.113 0.173 0.239
beta4_pH[5,3] 0.763 0.925 0.122 0.552 2.737
beta4_pH[6,3] 0.888 0.869 0.207 0.726 2.529
beta4_pH[7,3] 0.892 0.404 0.350 0.819 1.856
beta4_pH[8,3] 0.419 0.198 0.109 0.392 0.890
beta4_pH[9,3] 0.923 0.809 0.165 0.716 2.863
beta4_pH[10,3] 0.061 0.041 0.003 0.055 0.156
beta4_pH[11,3] 0.363 0.016 0.334 0.363 0.396
beta4_pH[12,3] 0.440 0.042 0.364 0.440 0.525
beta4_pH[13,3] 0.836 0.037 0.765 0.835 0.911
beta4_pH[14,3] 0.821 0.067 0.697 0.819 0.959
beta4_pH[15,3] 0.635 0.017 0.603 0.635 0.668
beta4_pH[16,3] 0.637 0.035 0.573 0.636 0.711
beta4_pH[1,4] 0.634 0.364 0.206 0.563 1.442
beta4_pH[2,4] 0.801 0.789 0.113 0.583 2.815
beta4_pH[3,4] 0.861 0.941 0.109 0.608 3.267
beta4_pH[4,4] 0.725 0.446 0.204 0.624 1.848
beta4_pH[5,4] 0.771 1.099 0.105 0.560 2.722
beta4_pH[6,4] 0.933 0.835 0.212 0.744 2.808
beta4_pH[7,4] 0.882 0.402 0.341 0.805 1.884
beta4_pH[8,4] 0.732 0.685 0.147 0.590 2.130
beta4_pH[9,4] 0.789 0.823 0.115 0.569 3.026
beta4_pH[10,4] 1.522 3.197 0.007 0.400 11.954
beta4_pH[11,4] 0.444 0.017 0.410 0.444 0.478
beta4_pH[12,4] 0.555 0.053 0.456 0.554 0.660
beta4_pH[13,4] 0.925 0.035 0.858 0.923 0.995
beta4_pH[14,4] 0.917 0.074 0.780 0.916 1.074
beta4_pH[15,4] 0.714 0.020 0.675 0.714 0.753
beta4_pH[16,4] 0.686 0.042 0.608 0.685 0.769
beta4_pH[1,5] 0.631 0.331 0.209 0.566 1.447
beta4_pH[2,5] 0.826 0.924 0.127 0.582 2.899
beta4_pH[3,5] 0.873 1.025 0.108 0.588 3.523
beta4_pH[4,5] 0.730 0.469 0.204 0.619 1.954
beta4_pH[5,5] 0.743 0.701 0.111 0.567 2.660
beta4_pH[6,5] 0.923 0.768 0.223 0.757 2.821
beta4_pH[7,5] 0.895 0.418 0.356 0.821 1.878
beta4_pH[8,5] 0.742 0.624 0.145 0.594 2.236
beta4_pH[9,5] 0.790 0.946 0.120 0.570 2.802
beta4_pH[10,5] 1.387 2.867 0.007 0.366 10.919
beta4_pH[11,5] 0.604 0.052 0.504 0.603 0.709
beta4_pH[12,5] 0.585 0.173 0.305 0.567 0.983
beta4_pH[13,5] 0.778 0.063 0.660 0.775 0.911
beta4_pH[14,5] 0.844 0.116 0.627 0.839 1.089
beta4_pH[15,5] 1.143 0.074 1.008 1.138 1.295
beta4_pH[16,5] 18.309 3.960 10.413 18.495 24.640
beta0_pelagic[1] 2.268 0.036 2.202 2.267 2.340
beta0_pelagic[2] 1.538 0.007 1.524 1.538 1.551
beta0_pelagic[3] 0.222 0.257 -0.419 0.288 0.607
beta0_pelagic[4] 0.254 0.220 -0.123 0.237 0.736
beta0_pelagic[5] 1.450 0.157 1.136 1.448 1.764
beta0_pelagic[6] 1.354 0.059 1.240 1.352 1.471
beta0_pelagic[7] 1.483 0.038 1.411 1.481 1.561
beta0_pelagic[8] 1.674 0.043 1.598 1.673 1.763
beta0_pelagic[9] 2.799 0.066 2.676 2.799 2.933
beta0_pelagic[10] 2.603 0.031 2.546 2.602 2.668
beta0_pelagic[11] -0.160 0.182 -0.548 -0.154 0.147
beta0_pelagic[12] 1.801 0.036 1.737 1.799 1.878
beta0_pelagic[13] -0.863 0.370 -1.463 -0.876 -0.152
beta0_pelagic[14] -0.306 0.188 -0.694 -0.292 0.005
beta0_pelagic[15] -0.215 0.037 -0.310 -0.199 -0.182
beta0_pelagic[16] -0.485 0.399 -1.363 -0.362 0.034
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.739 0.318 0.249 0.688 1.728
beta1_pelagic[4] 0.803 0.232 0.306 0.814 1.213
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.223 0.272 0.771 1.202 1.823
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 2.497 0.474 1.587 2.488 3.390
beta1_pelagic[14] 1.944 0.591 1.127 1.775 3.312
beta1_pelagic[15] 0.124 0.200 0.001 0.025 0.719
beta1_pelagic[16] 1.556 0.580 0.763 1.413 2.931
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.639 6.067 0.127 4.883 21.581
beta2_pelagic[4] 7.407 6.024 0.350 6.056 22.027
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.537 1.485 0.214 0.981 5.859
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.197 0.074 0.104 0.182 0.371
beta2_pelagic[14] 0.794 0.840 0.179 0.548 3.237
beta2_pelagic[15] 2.649 1.884 0.174 2.273 7.004
beta2_pelagic[16] 0.784 1.033 0.126 0.380 4.166
beta3_pelagic[1] 29.484 3.775 23.307 29.411 35.715
beta3_pelagic[2] 29.394 3.770 23.296 29.274 35.677
beta3_pelagic[3] 28.238 2.628 23.507 28.885 32.606
beta3_pelagic[4] 26.640 2.116 23.739 26.373 33.762
beta3_pelagic[5] 29.645 6.550 18.655 29.585 40.545
beta3_pelagic[6] 29.621 6.614 18.489 29.618 40.403
beta3_pelagic[7] 29.436 6.680 18.576 29.301 40.475
beta3_pelagic[8] 29.538 6.694 18.643 29.712 40.406
beta3_pelagic[9] 29.531 6.657 18.616 29.602 40.387
beta3_pelagic[10] 29.573 6.628 18.600 29.669 40.479
beta3_pelagic[11] 30.540 1.570 28.006 30.281 34.620
beta3_pelagic[12] 32.524 5.491 23.436 32.459 41.529
beta3_pelagic[13] 30.869 3.163 25.404 30.678 37.268
beta3_pelagic[14] 34.661 2.203 31.506 34.113 39.809
beta3_pelagic[15] 34.522 5.712 23.641 35.535 41.784
beta3_pelagic[16] 30.782 2.097 26.425 30.894 34.625
beta0_yellow[1] -0.482 0.079 -0.637 -0.483 -0.328
beta0_yellow[2] 0.510 0.186 -0.161 0.544 0.685
beta0_yellow[3] -0.212 0.132 -0.480 -0.214 0.014
beta0_yellow[4] 0.871 0.325 -0.120 0.965 1.192
beta0_yellow[5] 0.256 0.331 -0.454 0.273 0.837
beta0_yellow[6] 0.824 0.105 0.617 0.825 1.026
beta0_yellow[7] 0.999 0.093 0.820 1.000 1.183
beta0_yellow[8] 1.025 0.093 0.842 1.026 1.210
beta0_yellow[9] 0.464 0.101 0.261 0.464 0.659
beta0_yellow[10] 0.541 0.069 0.407 0.540 0.676
beta0_yellow[11] -0.190 0.129 -0.475 -0.177 0.032
beta0_yellow[12] -1.083 0.096 -1.268 -1.084 -0.895
beta0_yellow[13] -1.347 0.160 -1.684 -1.335 -1.059
beta0_yellow[14] -0.253 0.162 -0.609 -0.229 -0.009
beta0_yellow[15] -1.360 0.430 -2.946 -1.241 -1.038
beta0_yellow[16] -0.253 0.095 -0.440 -0.253 -0.069
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.048 0.299 0.584 1.017 1.893
beta1_yellow[3] 0.467 0.246 0.020 0.477 0.923
beta1_yellow[4] 1.341 0.616 0.621 1.182 3.241
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.259 0.357 0.001 0.067 1.136
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 1.239 1.440 0.023 0.758 6.336
beta1_yellow[14] 0.772 1.229 0.012 0.395 5.102
beta1_yellow[15] 0.278 0.466 0.011 0.095 1.931
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.232 5.807 -21.918 -5.927 -0.171
beta2_yellow[3] -7.590 5.776 -21.179 -6.252 -0.357
beta2_yellow[4] -5.570 5.909 -21.095 -3.509 -0.112
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] -7.923 5.882 -21.826 -6.745 -0.375
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] -6.805 6.266 -20.559 -4.993 -0.358
beta2_yellow[14] -6.721 4.820 -18.087 -5.974 -0.296
beta2_yellow[15] -5.568 5.598 -20.617 -3.488 -0.167
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 29.175 1.935 27.285 28.728 33.836
beta3_yellow[3] 32.458 3.427 23.134 32.596 39.201
beta3_yellow[4] 30.016 3.357 24.207 28.769 36.354
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 34.736 3.487 29.560 34.023 42.307
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 33.470 2.648 29.171 33.624 38.952
beta3_yellow[14] 34.069 3.698 29.180 33.695 43.029
beta3_yellow[15] 37.121 4.312 30.239 36.819 43.810
beta3_yellow[16] 25.000 0.000 25.000 25.000 25.000
beta0_black[1] 0.011 0.077 -0.134 0.010 0.167
beta0_black[2] 1.854 0.032 1.792 1.854 1.919
beta0_black[3] 1.239 0.037 1.163 1.239 1.313
beta0_black[4] 2.424 0.048 2.332 2.423 2.518
beta0_black[5] 5.176 2.348 1.912 4.707 10.994
beta0_black[6] 5.265 2.143 2.687 4.705 10.970
beta0_black[7] 4.091 2.162 1.603 3.490 10.051
beta0_black[8] 0.876 0.218 0.471 0.866 1.323
beta0_black[9] 2.807 0.272 2.304 2.804 3.357
beta0_black[10] 1.287 0.049 1.192 1.285 1.384
beta0_black[11] 2.978 0.051 2.876 2.977 3.078
beta0_black[12] 4.914 0.189 4.547 4.908 5.306
beta0_black[13] 0.407 0.325 0.012 0.337 1.217
beta0_black[14] 2.849 0.103 2.653 2.847 3.050
beta0_black[15] 0.723 0.051 0.622 0.723 0.823
beta0_black[16] 3.773 0.072 3.635 3.773 3.914
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.557 1.777 -6.896 -2.103 -0.340
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 37.675 2.809 29.681 38.233 40.800
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.323 0.092 -0.502 -0.322 -0.142
beta4_black[2] 0.259 0.053 0.158 0.260 0.363
beta4_black[3] -0.718 0.065 -0.842 -0.719 -0.588
beta4_black[4] 0.628 0.129 0.373 0.629 0.879
beta4_black[5] 0.776 1.440 -1.111 0.497 4.269
beta4_black[6] 0.870 1.506 -0.879 0.566 4.486
beta4_black[7] 0.781 1.625 -0.995 0.482 4.187
beta4_black[8] 0.084 0.288 -0.521 0.097 0.633
beta4_black[9] 1.039 0.814 -0.095 0.886 3.021
beta4_black[10] 0.074 0.064 -0.054 0.074 0.198
beta4_black[11] -0.610 0.066 -0.739 -0.610 -0.480
beta4_black[12] 1.234 0.285 0.693 1.232 1.799
beta4_black[13] -1.006 0.078 -1.159 -1.006 -0.856
beta4_black[14] 0.225 0.179 -0.126 0.222 0.581
beta4_black[15] 0.003 0.047 -0.092 0.003 0.090
beta4_black[16] -0.415 0.116 -0.647 -0.418 -0.181
beta0_dsr[11] -0.329 0.010 -0.347 -0.329 -0.309
beta0_dsr[12] 1.409 0.043 1.322 1.409 1.493
beta0_dsr[13] 0.155 0.021 0.113 0.155 0.195
beta0_dsr[14] -0.127 0.017 -0.161 -0.127 -0.093
beta0_dsr[15] 0.206 0.014 0.179 0.206 0.233
beta0_dsr[16] 0.160 0.016 0.128 0.160 0.193
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.544 0.035 0.477 0.544 0.615
beta4_dsr[12] 0.797 0.226 0.362 0.795 1.255
beta4_dsr[13] -0.079 0.039 -0.156 -0.080 -0.001
beta4_dsr[14] -0.206 0.070 -0.341 -0.206 -0.066
beta4_dsr[15] 0.216 0.022 0.175 0.216 0.260
beta4_dsr[16] -0.051 0.046 -0.140 -0.051 0.039
beta0_slope[11] -2.209 0.021 -2.250 -2.209 -2.166
beta0_slope[12] -4.982 0.186 -5.367 -4.973 -4.627
beta0_slope[13] -1.501 0.034 -1.567 -1.501 -1.433
beta0_slope[14] -2.712 0.050 -2.809 -2.711 -2.616
beta0_slope[15] -1.592 0.022 -1.635 -1.592 -1.549
beta0_slope[16] -2.652 0.040 -2.727 -2.653 -2.570
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.336 0.076 -0.486 -0.335 -0.194
beta4_slope[12] -4.667 0.812 -6.395 -4.628 -3.209
beta4_slope[13] 0.326 0.053 0.224 0.325 0.428
beta4_slope[14] -0.155 0.149 -0.450 -0.151 0.128
beta4_slope[15] -0.360 0.033 -0.423 -0.359 -0.296
beta4_slope[16] -0.143 0.104 -0.356 -0.141 0.056
beta5_slope[11] 3.065 0.108 2.858 3.064 3.278
beta5_slope[12] 2.002 0.389 1.292 1.981 2.815
beta5_slope[13] 0.882 0.080 0.726 0.883 1.039
beta5_slope[14] 3.753 0.356 3.099 3.739 4.488
beta5_slope[15] 1.307 0.071 1.173 1.304 1.446
beta5_slope[16] 2.725 0.235 2.288 2.717 3.226
tau_comp[1] 3.797 0.296 3.253 3.790 4.417
tau_comp[2] 2.858 0.253 2.385 2.856 3.375
tau_comp[3] 0.872 0.075 0.734 0.869 1.026
tau_comp[4] 1.787 0.269 1.324 1.761 2.359
tau_comp[5] 1.286 0.190 0.944 1.277 1.690
sigma_H[1] 0.205 0.047 0.121 0.202 0.303
sigma_H[2] 0.175 0.029 0.125 0.173 0.239
sigma_H[3] 0.189 0.040 0.119 0.186 0.277
sigma_H[4] 0.460 0.079 0.328 0.450 0.640
sigma_H[5] 0.956 0.200 0.593 0.943 1.376
sigma_H[6] 0.539 0.193 0.175 0.532 0.937
sigma_H[7] 0.311 0.062 0.216 0.302 0.458
sigma_H[8] 0.426 0.089 0.295 0.414 0.623
sigma_H[9] 0.509 0.115 0.328 0.493 0.778
sigma_H[10] 0.211 0.040 0.145 0.207 0.299
sigma_H[11] 0.265 0.044 0.193 0.261 0.361
sigma_H[12] 0.381 0.148 0.198 0.339 0.725
sigma_H[13] 0.218 0.036 0.158 0.215 0.297
sigma_H[14] 0.497 0.088 0.342 0.491 0.678
sigma_H[15] 0.232 0.036 0.170 0.228 0.310
sigma_H[16] 0.212 0.040 0.145 0.209 0.300
lambda_H[1] 2.160 3.187 0.088 1.040 10.649
lambda_H[2] 5.116 4.810 0.492 3.708 18.490
lambda_H[3] 5.460 8.851 0.310 2.757 27.055
lambda_H[4] 0.007 0.005 0.001 0.005 0.018
lambda_H[5] 3.064 7.660 0.028 0.682 27.180
lambda_H[6] 6.457 13.113 0.008 0.379 40.698
lambda_H[7] 0.012 0.008 0.002 0.010 0.033
lambda_H[8] 7.283 9.463 0.047 4.004 33.001
lambda_H[9] 0.016 0.010 0.003 0.013 0.043
lambda_H[10] 0.226 0.271 0.028 0.157 0.821
lambda_H[11] 0.225 0.354 0.011 0.106 1.112
lambda_H[12] 3.660 4.609 0.157 2.129 16.770
lambda_H[13] 3.173 2.979 0.301 2.344 11.401
lambda_H[14] 3.328 4.263 0.217 2.104 14.484
lambda_H[15] 0.019 0.039 0.003 0.013 0.060
lambda_H[16] 0.518 0.884 0.034 0.251 2.730
mu_lambda_H[1] 4.049 1.869 1.048 3.875 7.997
mu_lambda_H[2] 3.689 1.928 0.493 3.514 7.811
mu_lambda_H[3] 3.343 1.841 0.691 3.045 7.654
sigma_lambda_H[1] 8.062 4.345 1.662 7.326 17.979
sigma_lambda_H[2] 8.086 4.634 0.808 7.602 18.380
sigma_lambda_H[3] 6.086 3.943 0.915 5.248 16.285
beta_H[1,1] 6.492 1.326 3.325 6.720 8.466
beta_H[2,1] 9.759 0.590 8.440 9.784 10.850
beta_H[3,1] 7.834 0.782 6.026 7.926 9.138
beta_H[4,1] 10.625 7.669 -4.781 10.770 25.192
beta_H[5,1] -0.285 2.508 -5.750 -0.051 4.133
beta_H[6,1] 3.286 4.204 -7.238 4.804 8.130
beta_H[7,1] 1.137 5.691 -10.650 1.516 11.208
beta_H[8,1] 1.556 5.005 -2.538 1.179 4.422
beta_H[9,1] 13.713 5.684 2.563 13.559 25.209
beta_H[10,1] 6.812 1.762 3.342 6.874 10.138
beta_H[11,1] 4.740 3.543 -2.944 5.368 9.764
beta_H[12,1] 2.598 1.109 0.609 2.550 4.973
beta_H[13,1] 9.103 0.826 7.313 9.143 10.606
beta_H[14,1] 2.132 1.032 0.073 2.127 4.199
beta_H[15,1] -7.085 3.395 -13.138 -7.381 -0.043
beta_H[16,1] 3.949 2.972 -0.804 3.575 10.828
beta_H[1,2] 7.781 0.266 7.235 7.788 8.274
beta_H[2,2] 9.882 0.168 9.543 9.887 10.211
beta_H[3,2] 8.791 0.202 8.391 8.791 9.187
beta_H[4,2] 3.030 1.469 0.320 2.969 6.127
beta_H[5,2] 1.759 0.996 -0.235 1.797 3.632
beta_H[6,2] 6.096 1.089 3.528 6.270 7.799
beta_H[7,2] 2.418 1.071 0.527 2.375 4.683
beta_H[8,2] 2.914 1.329 0.915 3.111 4.286
beta_H[9,2] 3.162 1.085 1.053 3.162 5.285
beta_H[10,2] 8.049 0.356 7.327 8.064 8.730
beta_H[11,2] 9.852 0.639 8.884 9.754 11.221
beta_H[12,2] 3.958 0.371 3.275 3.946 4.732
beta_H[13,2] 9.140 0.233 8.705 9.132 9.618
beta_H[14,2] 4.032 0.348 3.358 4.025 4.730
beta_H[15,2] 11.549 0.615 10.249 11.571 12.693
beta_H[16,2] 4.459 0.806 3.014 4.428 6.162
beta_H[1,3] 8.455 0.263 7.988 8.439 8.989
beta_H[2,3] 9.864 0.150 9.571 9.867 10.153
beta_H[3,3] 9.466 0.164 9.151 9.463 9.808
beta_H[4,3] -2.137 0.855 -3.828 -2.119 -0.493
beta_H[5,3] 3.887 0.614 2.645 3.889 5.065
beta_H[6,3] 8.385 1.204 6.715 8.044 10.946
beta_H[7,3] -2.588 0.635 -3.852 -2.578 -1.351
beta_H[8,3] 5.337 0.621 4.694 5.231 6.595
beta_H[9,3] -2.655 0.709 -4.098 -2.649 -1.337
beta_H[10,3] 8.565 0.278 8.044 8.556 9.106
beta_H[11,3] 8.481 0.293 7.857 8.503 9.002
beta_H[12,3] 5.276 0.330 4.503 5.318 5.814
beta_H[13,3] 8.854 0.172 8.516 8.855 9.181
beta_H[14,3] 5.782 0.277 5.181 5.806 6.268
beta_H[15,3] 10.280 0.298 9.696 10.272 10.865
beta_H[16,3] 5.904 0.610 4.665 5.923 6.994
beta_H[1,4] 8.101 0.189 7.707 8.112 8.439
beta_H[2,4] 9.852 0.130 9.572 9.858 10.081
beta_H[3,4] 9.956 0.153 9.621 9.969 10.220
beta_H[4,4] 11.809 0.475 10.857 11.818 12.729
beta_H[5,4] 5.553 0.741 4.307 5.473 7.223
beta_H[6,4] 7.251 0.912 5.280 7.498 8.545
beta_H[7,4] 8.546 0.347 7.845 8.558 9.209
beta_H[8,4] 6.715 0.293 6.075 6.740 7.142
beta_H[9,4] 7.402 0.446 6.535 7.399 8.274
beta_H[10,4] 7.538 0.223 7.121 7.533 7.993
beta_H[11,4] 9.505 0.191 9.126 9.501 9.884
beta_H[12,4] 7.260 0.195 6.883 7.258 7.663
beta_H[13,4] 9.057 0.139 8.772 9.063 9.322
beta_H[14,4] 7.845 0.219 7.445 7.837 8.303
beta_H[15,4] 9.483 0.221 9.047 9.485 9.916
beta_H[16,4] 9.427 0.246 8.971 9.422 9.934
beta_H[1,5] 8.904 0.155 8.595 8.906 9.206
beta_H[2,5] 10.677 0.099 10.494 10.674 10.886
beta_H[3,5] 10.762 0.160 10.474 10.753 11.086
beta_H[4,5] 8.351 0.510 7.361 8.338 9.401
beta_H[5,5] 5.184 0.574 3.827 5.257 6.087
beta_H[6,5] 8.995 0.636 7.972 8.863 10.321
beta_H[7,5] 6.576 0.348 5.915 6.575 7.286
beta_H[8,5] 8.263 0.237 7.915 8.239 8.763
beta_H[9,5] 8.210 0.454 7.340 8.201 9.149
beta_H[10,5] 10.041 0.229 9.587 10.043 10.488
beta_H[11,5] 11.596 0.223 11.180 11.592 12.044
beta_H[12,5] 8.618 0.187 8.251 8.620 8.998
beta_H[13,5] 10.135 0.129 9.891 10.133 10.398
beta_H[14,5] 9.252 0.220 8.852 9.239 9.730
beta_H[15,5] 11.311 0.236 10.834 11.310 11.773
beta_H[16,5] 9.832 0.190 9.446 9.834 10.187
beta_H[1,6] 10.112 0.231 9.753 10.080 10.673
beta_H[2,6] 11.469 0.114 11.241 11.468 11.696
beta_H[3,6] 10.612 0.154 10.262 10.620 10.889
beta_H[4,6] 12.933 0.907 11.092 12.931 14.687
beta_H[5,6] 5.651 0.610 4.508 5.618 6.950
beta_H[6,6] 8.782 0.563 7.518 8.818 9.860
beta_H[7,6] 10.546 0.611 9.334 10.571 11.659
beta_H[8,6] 9.523 0.299 8.952 9.550 9.965
beta_H[9,6] 8.269 0.754 6.786 8.259 9.770
beta_H[10,6] 9.157 0.342 8.420 9.177 9.765
beta_H[11,6] 10.689 0.366 9.924 10.720 11.317
beta_H[12,6] 9.390 0.237 8.950 9.383 9.885
beta_H[13,6] 11.087 0.145 10.810 11.087 11.375
beta_H[14,6] 9.917 0.284 9.330 9.924 10.472
beta_H[15,6] 10.548 0.413 9.723 10.550 11.365
beta_H[16,6] 10.591 0.257 10.028 10.608 11.054
beta_H[1,7] 10.163 1.215 7.003 10.443 11.839
beta_H[2,7] 12.115 0.514 10.998 12.146 13.024
beta_H[3,7] 10.296 0.653 8.867 10.350 11.384
beta_H[4,7] 1.304 4.583 -7.354 1.275 10.671
beta_H[5,7] 5.902 1.898 2.088 5.916 9.750
beta_H[6,7] 7.253 3.153 -0.928 8.404 10.868
beta_H[7,7] 7.663 3.086 1.914 7.569 13.908
beta_H[8,7] 10.917 1.147 9.156 10.871 12.984
beta_H[9,7] 4.988 3.893 -2.743 5.033 12.579
beta_H[10,7] 9.981 1.609 7.172 9.862 13.420
beta_H[11,7] 11.387 1.842 8.207 11.151 15.468
beta_H[12,7] 9.786 1.007 7.373 9.887 11.408
beta_H[13,7] 11.696 0.674 10.211 11.763 12.862
beta_H[14,7] 10.634 0.933 8.715 10.659 12.411
beta_H[15,7] 14.020 2.171 9.776 14.002 18.389
beta_H[16,7] 12.867 1.389 10.452 12.682 15.946
beta0_H[1] 8.934 17.309 -24.663 8.364 48.859
beta0_H[2] 10.554 7.972 -5.676 10.667 27.148
beta0_H[3] 9.847 9.551 -10.042 9.980 29.674
beta0_H[4] 5.228 183.971 -374.663 10.170 382.174
beta0_H[5] 4.450 28.550 -52.881 4.478 59.152
beta0_H[6] 8.978 51.050 -100.531 8.100 119.987
beta0_H[7] 5.390 138.980 -276.935 6.147 283.745
beta0_H[8] 7.460 41.708 -20.466 6.620 35.482
beta0_H[9] 5.985 119.183 -238.825 5.307 251.721
beta0_H[10] 7.987 36.792 -70.233 8.397 80.710
beta0_H[11] 9.649 52.222 -100.257 9.740 120.848
beta0_H[12] 6.717 12.408 -20.589 6.676 30.812
beta0_H[13] 9.993 10.714 -11.170 10.172 30.424
beta0_H[14] 7.274 11.856 -15.879 6.907 33.128
beta0_H[15] 7.103 120.129 -234.813 6.431 252.924
beta0_H[16] 7.601 30.922 -58.319 8.224 67.544